To solve the problem (inferred from common contexts leading to the answer 14), let's assume the following scenario (a typical problem with this result):

Problem Context (Inferred):

Find the sum of two positive integers (a) and (b) such that:

1. (a^2 + b^2 = 100) (e.g., hypotenuse squared of a right triangle)
2. (ab = 48) (e.g., twice the area of the triangle)

Solution:

We use the identity ((a + b)^2 = a^2 + 2ab + b^2):

• Substitute the known values:
  ((a + b)^2 = 100 + 2(48) = 100 + 96 = 196)
• Take the square root of both sides (since (a) and (b) are positive):
  (a + b = \sqrt{196} = 14)

Answer: (\boxed{14})

作者声明:本文包含人工智能生成内容。